Title :
A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media
Author :
Alcantara, Licinius D S ; Teixeira, Fernando L. ; César, Amílcar C. ; Borges, Ben-Hur V.
Author_Institution :
Electr. & Comput. Eng. Dept., Fed. Univ. of Para, Brazil
Abstract :
A new three-dimensional (3-D) full-vectorial finite-difference (FD)-based beam-propagation method (BPM) is introduced for the analysis of magnetooptic and nonlinear materials. The refractive-index growth in the nonlinear material is allowed to saturate at high optical power densities (cubic-quintic media). The new formalism is capable of handling any combination of linear, nonlinear, and magnetooptic media, and combines, for the first time, the alternating-direction implicit technique (to improve computational performance) with the leapfrog longitudinal scheme (to simplify the solution of the coupled equations for transverse field components). The result is a numerical method that is both computationally efficient and numerically robust. The proposed BPM formalism is applied to investigate a (nonreciprocal) magnetooptic rib waveguide, as well as the new striking phenomena of light condensates propagation in cubic-quintic (saturable) media, the dynamics of which resemble those of liquid droplets.
Keywords :
finite difference methods; light propagation; magneto-optical effects; nonlinear media; nonlinear optics; optical materials; optical waveguides; refractive index; rib waveguides; vectors; alternating-direction implicit technique; beam-propagation method; cubic-quintic media; finite-difference-based scheme; full-vectorial scheme; leapfrog longitudinal scheme; light condensates propagation; linear media; liquid droplets; magnetooptic materials; magnetooptic waveguide; nonlinear materials; nonlinear saturable media; optical power densities; refractive index growth; rib waveguide; Couplings; Finite difference methods; Magnetic analysis; Magnetic materials; Nonlinear equations; Nonlinear optical devices; Nonlinear optics; Optical materials; Optical refraction; Optical saturation; Beam-propagation methods; finite-difference (FD) methods; light condensates; magnetooptic media; saturable media;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2005.850811
